A great achievement you have done there :) I liked the graphics and the music is really beautiful. The map is vast and that is really a feat for an LD entry.
The main points that kinda hurt the experience for me were the combat system and the idea itself.
For the combat system, it was very hard to kill anything which made me too stressed all the time :D I don't know if it is because I don't play a lot of First Person or not but that is what I felt anyway.
As for the idea, I kinda felt bad for what I was doing stealing the eggs of the birds and killing them; it felt like a bad purpose and especially contradicting with the environment and mood you set. But this is something you can easily change, if you want, through narrative while preserving the gameplay. Like for example that you are collecting the eggs of an endangered species of birds and you need to get them fast before other predatory birds eat them and you only need to change the frying pan into a nest or incubatory or something like that while preserving everything else.
But regardless of this, I felt all the time while playing that this could be something big one day. You should be proud of your accomplishment. Congratulation :)